Is One Textbook Enough for Self-Studying Undergraduate Physics?

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Learning all the mathematics required for undergraduate physics from a single mathematical methods textbook is generally considered insufficient. While a comprehensive text may cover many necessary topics, it is unlikely to encompass all the depth and breadth needed for a full understanding of undergraduate physics. A foundational calculus book, such as Stewart's, is recommended as a starting point to build essential skills before tackling more advanced topics. Additionally, resources like Boas' "Mathematical Methods in the Physical Sciences" can serve as a valuable supplement, but students should be prepared to consult additional texts on differential equations, calculus, and linear algebra for clarification on complex concepts. This multi-text approach allows for a more thorough grasp of the mathematical principles essential for physics.
m.gigantic
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Can Someone learn all mathematics required for undergraduate physics from only one textbook (mathematical methods in physics texts ) prior to knowing anything in physics especially if he want to self study ? What are the advantages and disadvantages of this method? If I have superficial knowledge in calculus , Can I only read it in a mathematical methods textbook ( I have Riley , Hobson and Bence book which include a chapter on elementary calculus )? Or should I read a calculus book at the level of Stewart book for example ?
 
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m.gigantic said:
Can Someone learn all mathematics required for undergraduate physics from only one textbook (mathematical methods in physics texts ) prior to knowing anything in physics especially if he want to self study ?

All of undergraduate physics? No. Well... maybe if it was a really big book.
 
Probably not one book, but you can follow the standard curriculum set in a uni:

First would be a calculus book, like Stewart's.

Second maybe Boas' Mathematical Methods in the Physical Sciences. I think the second edition you can get super cheap.

Anything you don't understand in Boas you can get clarification in a Diff EQ, Calc, or a Linear Algebra book.
 

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